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Finding the Fourth Proportional to 314,135.87, 467,650.87 and 312,267.56

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Solution

The fourth proportional to 314,135.87, 467,650.87 and 312,267.56 is: 464,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,135.87 : 467,650.87 = 312,267.56 : x
  2. Step 2: Convert to fraction form
    314,135.87/467,650.87 = 312,267.56/x
  3. Step 3: Cross multiply
    314,135.87x = 467,650.87 × 312,267.56
  4. Step 4: Simplify right side
    314,135.87x = 146,032,192,987.85
  5. Step 5: Solve for x
    x = 146,032,192,987.85/314,135.87
  6. Step 6: Final answer
    x = 464,869.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.